LOCAL HE-4-P POTENTIALS FROM RESONATING-GROUP METHOD PHASE-SHIFTS

Phase shifts for alpha + nucleon scattering generated by a multichanne l resonating-group method (RGM) model of the five-nucleon system are s ubjected to iterative-perturbative ''mixed-case'' inversion for energi es below the reaction threshold. The resulting phase-equivalent potent ials are compared with local potentials calculated from the inversion of empirical phase shifts. A strong similarity is revealed between the two sets of potentials, mast notably in the description by a parity- and energy-dependent local potential. In particular, the RGM-derived a nd empirical potentials share a distinctive form of parity dependence in which the odd-parity component is of greater radial extent. Compari son with potentials representing single-channel RGM phase shifts exhib its the importance of the coupled channels in terms of local potential s. The relative wave functions derived from RGM are very different fro m those for the phase-equivalent local potentials. Connections are mad e with general nucleon-nucleus scattering.